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he McG

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Chapter 1 8 Glencoe Algebra 2

1-1 PracticeExpressions and Formulas

Evaluate each expression.

1. 3(4 - 7) - 11 2. 4(12 - 42)

3. 1 + 2 - 3(4) ÷ 2 4. 12 - [20 - 2(62 ÷ 3 × 22)]

5. 20 ÷ (5 - 3) + 52(3) 6. (-2)3 - (3)(8) + (5)(10)

7. 18 - {5 - [34 - (17 - 11)]} 8. [4(5 - 3) - 2(4 - 8)] ÷ 16

9. 1 − 2 [6 - 42] 10. 1 −

4 [-5 + 5(-3)]

11. -8(13 - 37) − 6 12. (-8)2

− 5 - 9

- (-1)2 + 4(-9)

Evaluate each expression if a = 3 − 4 , b = -8, c = -2, d = 3, and g = 1 −

3 .

13. ab2 - d 14. (c + d)b

15. ab − c + d2 16. d(b - c) − ac

17. (b - dg)g2 18. ac3 - b2dg

19. -b[a + (c - d)2] 20. ac4 −

d - c −

g2

21. 9bc - 1 − g 22. 2ab2 - (d 3 - c)

23. TEMPERATURE The formula F = 9 − 5 C + 32 gives the temperature in

degrees Fahrenheit for a given temperature in degrees Celsius. What is the temperature in degrees Fahrenheit when the temperature is -40 degrees Celsius?

24. PHYSICS The formula h = 120t - 16t2 gives the height h in feet of an object t seconds after it is shot upward from Earth’s surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds?

25. AGRICULTURE Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P = 20x - 0.01x2 - 240 to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples?

88

85 18

41 1

-5 -5

32 -53

45 -8

12 12

-1 -70

206 22

141 67

-40°F

144 ft

$4860

-20 -16

-3

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Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 1 14 Glencoe Algebra 2

1-2 PracticeProperties of Real Numbers

Name the sets of numbers to which each number belongs.

1. 6425 2. √ " 7 3. 2π 4. 0

5. √ "" 25 − 36

6. - √ "" 16 7. -35 8. -31.8

Name the property illustrated by each equation.

9. 5x % (4y + 3x) = 5x % (3x + 4y) 10. 7x + (9x + 8) = (7x + 9x) + 8

11. 5(3x + y) = 5(3x + 1y) 12. 7n + 2n = (7 + 2)n

13. 3(2x)y = (3 % 2)(xy) 14. 3x % 2y = 3 % 2 % x % y 15. (6 + -6)y = 0y

16. 1 − 4 % 4y = 1y 17. 5(x + y) = 5x + 5y 18. 4n + 0 = 4n

Find the additive inverse and multiplicative inverse for each number.

19. 0.4 20. -1.6

21. - 11 − 16 22. 5 5 − 6

Simplify each expression.

23. 5x - 3y - 2x + 3y 24. -11a - 13b + 7a - 3b

25. 8x - 7y - (3 - 6y) 26. 4c - 2c - (4c + 2c)

27. 3(r - 10t) - 4(7t + 2r) 28. 1 − 5 (10a - 15b) + 1 −

2 (8b + 4a)

29. 2(4z - 2x + y) - 4(5z + x - y) 30. 5 − 6 ( 3 −

5 x + 12y) - 1 −

4 (2x - 12y)

31. TRAVEL Olivia drives her car at 60 miles per hour for t hours. Ian drives his car at 50 miles per hour for (t + 2) hours. Write a simplified expression for the sum of the distances traveled by the two cars.

32. NUMBER THEORY Use the properties of real numbers to tell whether the following statement is true or false: If a and b ≠ 0 and a > b, it follows that a( 1 − a ) > b( 1 −

b ). Explain

your reasoning.

Q, R Z, Q, R Z, Q, R

Comm. (+)

Mult. Iden.

Assoc. (×) Add. Inv.

Mult. Inv. Distributive

-0.4, 2.5 1.6, -0.625

-5 5 − 6 , 6 −

35

3x

8x - y - 3

-5r - 58t

-12z - 8x + 6y 13y

(110t + 100) mi

false; counterexample: 5 ( 1 − 5 ) ≯ 4 ( 1 −

4 )

N, W, Z, Q, R I, R I, R

Assoc. (+)

Distributive

11 − 16

, - 16 − 11

W, Z, Q, R

Q, R

Comm. (×)

Add. Iden.

-4a - 16b

-4c

4a + b

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